New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation

doi:10.1088/0266-5611/23/4/005

	New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation
	Hu, Xing-Biao; Wang, Hong-Yan
	2007-08-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	23 期号:4 页码:1433-1444
摘要	A new type of the KP equation with self- consistent sources (KPESCS) first found by Mel'nikov ( 1983 Lett. Math. Phys. 7 129-36) is re-constructed via source generation procedure. A new feature of the obtained KPESCS is that we allow y-dependence of the arbitrary constants in the determinantal solution for the KP equation while applying the source generation procedure. We also propose a new idea of commutativity of source generation procedure and Backlund transformations to generate a BT for the new KPESCS which indicates the integrability of the KPESCS.
DOI	10.1088/0266-5611/23/4/005
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000248186100005
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4854
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Xing-Biao
作者单位	1.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Hu, Xing-Biao,Wang, Hong-Yan. New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation[J]. INVERSE PROBLEMS,2007,23(4):1433-1444.
APA	Hu, Xing-Biao,&Wang, Hong-Yan.(2007).New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation.INVERSE PROBLEMS,23(4),1433-1444.
MLA	Hu, Xing-Biao,et al."New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation".INVERSE PROBLEMS 23.4(2007):1433-1444.